Home / 1,764.29-2,646.47-465.77

Finding the Fourth Proportional to 1,764.29, 2,646.47 and 465.77

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Solution

The fourth proportional to 1,764.29, 2,646.47 and 465.77 is: 698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.29 : 2,646.47 = 465.77 : x
  2. Step 2: Convert to fraction form
    1,764.29/2,646.47 = 465.77/x
  3. Step 3: Cross multiply
    1,764.29x = 2,646.47 × 465.77
  4. Step 4: Simplify right side
    1,764.29x = 1,232,654.11
  5. Step 5: Solve for x
    x = 1,232,654.11/1,764.29
  6. Step 6: Final answer
    x = 698.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.